The country star was scheduled to play five sell-out gigs at Croke Park from 25 to 29 July, but earlier in the month Dublin City Council ruled that two could not go ahead.
The country singer then rejected a compromise offer of two matinee shows and three night-time concerts saying it "cannot possibly compare" to the original five night run.
But on Sunday, ticket holders were told by Ticketmaster they were halting a refund process due to negotiations to find a resolution to the situation.
However individual statements from both Garth Brooks and Aiken Promotions on Monday night confirmed that none of the planned concerts will now go ahead.
I want to thank the Irish authorities for going the distance for all of us who wanted to share songs and dance together.
Statement from Garth Brooks
In a statement Brooks said: "I have always been advised to NEVER send a message in 'the moment'. It is said it is best to take a walk, wait awhile, and think about it.
"With that said, I just received the news the Irish council cannot change their earlier ruling to not allow the licenses for all five shows. To say I am crushed is an understatement.
"All I see is my mother's face and I hear her voice. She always said things happen for a reason and for the right reason.
"As hard as I try, I cannot see the light on this one. So it is with a broken heart, I announce the ticket refunds for the event will go as posted by Ticketmaster."
He continued: "I really want to thank all the people around the world that continued to think good thoughts that this would actually happen.
"Most of all, to Peter Aiken and those 400,000 people who believed enough to go through what they have been through to get to this point...I love you, always have, always will.
"I encourage any and all of them that can come see the show, at some point around the world, to bring your Irish flags and waive them proudly at the concerts. I will be looking for you....garth."
A statement from the promoters said: "Aiken Promotions regret to announce that despite pursuing all possible solutions, the five concert Garth Brooks Comeback Special Event at Croke Park is cancelled. No concerts will take place.
"The ticket return process will begin on Thursday 17 July at 9am through Ticketmaster."